Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:D_8$ |
| Group identifier: | $[48,15]$ |
| Signature: | $[ 0; 2, 2, 3, 8 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 5, 10$ |
| Jacobian variety group algebra decomposition: | $E^{2}\times A_{2}^{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $6, 8, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) (25,26,27) (28,29,30) (31,32,33) (34,35,36) (37,38,39) (40,41,42) (43,44,45) (46,47,48) |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
14.48-15.0.2-2-3-8.1.1
| (1,13) (2,14) (3,15) (4,16) (5,17) (6,18) (7,22) (8,23) (9,24) (10,19) (11,20) (12,21) (25,37) (26,38) (27,39) (28,40) (29,41) (30,42) (31,46) (32,47) (33,48) (34,43) (35,44) (36,45) | |
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,43) (14,45) (15,44) (16,46) (17,48) (18,47) (19,37) (20,39) (21,38) (22,40) (23,42) (24,41) | |
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) (25,26,27) (28,29,30) (31,32,33) (34,35,36) (37,38,39) (40,41,42) (43,44,45) (46,47,48) | |
| (1,38,10,47,4,41,7,44) (2,37,11,46,5,40,8,43) (3,39,12,48,6,42,9,45) (13,35,22,29,16,32,19,26) (14,34,23,28,17,31,20,25) (15,36,24,30,18,33,21,27) |
14.48-15.0.2-2-3-8.1.2
| (1,13) (2,14) (3,15) (4,16) (5,17) (6,18) (7,22) (8,23) (9,24) (10,19) (11,20) (12,21) (25,37) (26,38) (27,39) (28,40) (29,41) (30,42) (31,46) (32,47) (33,48) (34,43) (35,44) (36,45) | |
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,43) (14,45) (15,44) (16,46) (17,48) (18,47) (19,37) (20,39) (21,38) (22,40) (23,42) (24,41) | |
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23) (25,27,26) (28,30,29) (31,33,32) (34,36,35) (37,39,38) (40,42,41) (43,45,44) (46,48,47) | |
| (1,39,10,48,4,42,7,45) (2,38,11,47,5,41,8,44) (3,37,12,46,6,40,9,43) (13,36,22,30,16,33,19,27) (14,35,23,29,17,32,20,26) (15,34,24,28,18,31,21,25) |